Find the Partial Sum of the Geometric Sequence with the Given

question 23

Multiple Choice

Find the partial sum of the geometric sequence with the given first term and common ratio.
- $\mathrm { s } 5 , \mathrm { a } 1 = 1 , \mathrm { r } = \frac { 1 } { 2 }$

• A) \(- \frac { 1 } { 48 }\)
• B) \(\frac { 1 } { 12 }\)
• C) 93
• D) \(\frac { 31 } { 16 }\)

---

Definitions:

Total Sleep Time

The total amount of actual sleep time in a given sleep session, excluding all periods of wakefulness.

Slow-Wave

Referring to the low-frequency, high-amplitude brainwaves that are dominant during the deepest stages of sleep, playing a critical role in restorative sleep processes.

REM

Rapid Eye Movement, a sleep phase characterized by fast movements of the eyes, low muscle tone, vivid dreams, and increased brain activity.

Paradox

A statement or proposition that, despite sound reasoning, leads to a conclusion that seems logically unacceptable or self-contradictory.